Answer:
10 miles per minute
Step-by-step explanation:
distance = speed x time
but we are working out the speed, so it is speed = distance/ time
it takes 12 minutes, so we do 120/ 12 which gives us 10
Given:
2x² + 8x - 12 = 0
Solution:
The first term 2x² can't be changed to a complete square form. If we want to change it to the complete square form, we need to change 2x² to 4x². So, multiply both sides of the equation by 2
2x² + 8x - 12 = 0
------------------------- multiplied by 2
4x² + 16x - 24 = 0
then change it to complete quadratic form by adding 16 to both sides
4x² + 16x - 24 = 0
4x² + 16x + 16 - 24 = 16
4x² + 16x + 16 = 16 + 24
4x² + 16x + 16 = 40
(2x + 4)(2x + 4) = 40
(2x + 4)² = 40
This is the complete quadratic form of the equation.
Because there is no option of the solution, we can modify the equation by multiplying the two sides by a square number. I multiply the equation by 4.
(2x + 4)² = 40
4 (2x + 4)² = 4 × 40
4 (2x + 4)² = 160
4 (2x + 4)(2x + 4) = 160
2(2x + 4) 2(2x + 4) = 160
(4x + 8)(4x + 8) = 160
(4x + 8)² = 160
The answer is option b
There can be 18, 12, 9, 6, 4 , 3 or 2 students on each team depending on the number of teams selected.
<h3>How to know the number of students on each team?</h3>
Considering there are at least 2 teams but no more than 19 teams, let's calculate the number of students in each case:
- 2 teams: 18 students per team (36/2 = 18)
- 3 teams: 12 students per team (36/3 =12)
- 4 teams: 9 students per team (36/4 = 9)
- 6 teams: 6 students per team (36/6 = 6)
- 9 teams: 4 students per team (36/9 = 4)
- 12 teams: 3 students per team (36/12= 3)
- 18 teams: 2 students per team (36/18 = 2)
Learn more about teams in: brainly.com/question/10750297
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Answer: The correct statement is "Victoria's method is linear because the number of minutes increased by an equal number every month".
Explanation:
From the given information Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month, and 80 minutes in the fourth month.
The sequence of Zach is 10, 20, 40, 80. Which is a geometric sequence with common ratio 2. So, Zach's method is exponential.
Victoria read a book for 35 minutes every weekend in the first month, 50 minutes in the second month, 65 minutes in the third month, and 80 minutes in the fourth month.
The sequence of Victoria is 35, 50, 65, 80. Which is a arithmetic sequence with common difference 15. So, Victoria's method is linear.
From the correct statement is "Victoria's method is linear because the number of minutes increased by an equal number every month".
Hi there!
Let me help you out a bit here. What we need to do is subtract the area of the smaller square from the area of the larger square. To do this, we first need to find the length of one of the larger sides. Since the outer polygon is a square, we can use the 45-45-90 relationship to determine that each side of the larger square is equal to
. Next, we can do the same thing for the smaller square, determining that one outer side of the smaller square is equal to
. To figure out the area of both squares, we need to square each of the outer lengths. This gives us 162 for the bigger square and 32 for the smaller square. Now, all we need to do is subtract 32 from 162. This gives us a value of 130cm^2 for the shaded area.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
